Are There Category-Theoretical Explanations of Physical Phenomena?

The paper is devoted to the question, whether category theory can offer explanations of physical phenomena – in a sense similar to mathematical explanations in science discussed extensively in the philosophical literature in the last years. My claim is, that – in this sense – it cannot. Nevertheless, it cannot be denied, that CT contributes to our understanding of physics – and in the paper I discuss the problem, whether this fact can be accounted for in terms of explanatory value. I argue, that investigating the (possible) explanatory virtues of CT is important for discussion concerning mathematical explanations on an abstract level. So, it contributes not only to the understanding of the role of CT in physics, but also to the elucidation of the notion of explanation.